Mathematics 0580: LINEAR PROGRAMMING Topical Past Paper Questions

**(a)** On the grid, draw these four straight lines. [5] > $x=8$ > > $y=2$ > > $x+y=8$ > > $2y-x=4$ **(b)** Region $R$ satisfies these four inequalities. > $x \leqslant 8$ > > $y \geqslant 2$ > > $x+y \geqslant 8$ > > $2y-x \leqslant 4$ By shading the unwanted regions of the grid…

Write down all the inequalities that define the region $R$. [4]

A company makes scientific calculators and graphic calculators. Each day they make $x$ scientific calculators and $y$ graphic calculators. These inequalities describe the number of scientific and graphic calculators they make each day. $x The company can make a maximum of ______…